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What is the Least Common Multiple of 36939 and 36945?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 36939 and 36945 is 454903785.

LCM(36939,36945) = 454903785

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Least Common Multiple of 36939 and 36945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36939 and 36945, than apply into the LCM equation.

GCF(36939,36945) = 3
LCM(36939,36945) = ( 36939 × 36945) / 3
LCM(36939,36945) = 1364711355 / 3
LCM(36939,36945) = 454903785

Least Common Multiple (LCM) of 36939 and 36945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36939 and 36945. First we will calculate the prime factors of 36939 and 36945.

Prime Factorization of 36939

Prime factors of 36939 are 3, 7, 1759. Prime factorization of 36939 in exponential form is:

36939 = 31 × 71 × 17591

Prime Factorization of 36945

Prime factors of 36945 are 3, 5, 821. Prime factorization of 36945 in exponential form is:

36945 = 32 × 51 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 36939 and 36945.

LCM(36939,36945) = 32 × 71 × 17591 × 51 × 8211
LCM(36939,36945) = 454903785